300/140 as a decimal and mixed number expansion provides the detailed information about what is 300/140 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
300/140 as a Decimal
300/140 = 2.1429
Hence,
300/140 as a decimal equals to 2.1429
where,
300/140 is a given fraction,
The decimal expansion of 300/140 is 2.1429
300/140 as a Mixed Number
300/140 = (280 + 20)/140
= 280/140 + 20/140
= 2 + 20/140
= 2 20/140
300/140 = 2 20/140
Hence,
300/140 as a mixed number is 2 20/140
where,
300/140 is a given fraction,
2 20/140 is the mixed number representation of 300/140.
The below work with steps provide the detailed information about how to convert fraction 300/140 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/140
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/140.
step 2 The numerator is greater than the denominator of the fraction 300/140, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/140
= 280 + 20/140
= (2 x 140) + 20/140
step 3 Make the above expression as individual fractions:
= (2 x 140)/140 + 20/140
step 4 Simplify the above expression:
= 2 x 140/140 + 20/140
= 2 + 20/140
= 2 + 1 x 20/7 x 20
= 2 + 1/7
2 + 1/7 can be written as a mixed number 2 1/7.
step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 2 + 0.1429
= 2.1429
300/140 = 2.1429
Hence,
300/140 as a decimal is 2.1429
300/140 as a mixed number is 2 1/7